Consider the system \(s_{1}\) modelled as

\[
\dot{x}=\left[\begin{array}{rr}
2 & 0 \\
0 & -1
\end{array}ight] x+\left[\begin{array}{l}
1 \\
0
\end{array}ight] u
\]

and system \(s_{2}\) modelled as

\[
\dot{z}=\left[\begin{array}{ll}
2 & 0 \\
0 & 1
\end{array}ight] z+\left[\begin{array}{l}
1 \\
0
\end{array}ight] u
\]

What can be said about stabilizability of these systems?
(a) \(s_{1}\) and \(s_{2}\) both are stabilizable.
(b) only \(s_{1}\) is stabilizable.
(c) only \(s_{2}\) is stabilizable.
(d) neither \(s_{1}\) nor \(s_{2}\) is stabilizable.